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{\info{\title Redes Neuronales - TP1}{\author Enrique Segura, Leticia Seijas, Diego Bendersky}{\creatim\yr2007\mo3\dy17\hr17\min35}{\author Rosana}{\revtim\yr2009\mo3\dy26\hr11\min1}{\printim\yr2005\mo9\dy7\hr20\min4}{\comment StarWriter}{\vern3200}}\deftab708
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{\*\pgdscno0}\paperh16840\paperw11907\margl1418\margr624\margt709\margb794\sectd\sbknone\pgwsxn11907\pghsxn16840\marglsxn1418\margrsxn624\margtsxn1752\margbsxn794\headery709\facingp{\headerr \pard\plain \s21\cf0\tqc\tx3119\tqr\tx8838{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274{\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0{\rtlch\ltrch\dbch\hich\fs18\loch\fs18 UNIVERSIDAD}}{\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0  {\rtlch\ltrch\dbch\hich\fs18\loch\fs18 DE}{\rtlch\ltrch\dbch\hich\fs28\loch\fs28  }{\rtlch\ltrch\dbch\hich\fs18\loch\fs18 BUENOS}{\rtlch\ltrch\dbch\hich\fs28\loch\fs28  }{\rtlch\ltrch\dbch\hich\fs18\loch\fs18 AIRES}}
\par \pard\plain \s21\cf0\tqc\tx4419\tqr\tx8838{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274{\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0{\rtlch\ltrch\dbch\hich\fs18\loch\fs18 FCEyN}}{\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0{\rtlch\ltrch\dbch\hich\fs10\loch\fs10  \'96 }{\rtlch\ltrch\dbch\hich\fs18\loch\fs18 Departamento de Computaci\'f3n}}
\par \pard\plain \s21\cf0\tqc\tx4419\tqr\tx8838{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\margtsxn1163\margbsxn0\brdrb\brdrs\brdrw1\brdrcf1\brsp20{\*\brdrb\brdlncol1\brdlnin0\brdlnout1\brdlndist0}\brsp20\rtlch\afs24\lang1025\ab\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\b\loch\f1\fs24\lang11274\b {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b REDES NEURONALES \'96 Primer Cuatrimestre del 2009}
\par \pard\plain \s21\cf0\tqc\tx4419\tqr\tx8838{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\margtsxn1163\margbsxn0\rtlch\afs8\lang1025\ab\ltrch\dbch\af1\langfe3082\hich\f1\fs8\lang1033\b\loch\f1\fs8\lang1033\b 
\par }
\headery709\facingp{\headerl \pard\plain \s24\cf0\tqc\tx4932\tqr\tx9865{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par }
\ftnbj\ftnstart1\ftnrstcont\ftnnar\aenddoc\aftnrstcont\aftnstart1\aftnnrlc
\pard\plain \ltrpar\s18\cf0\qc{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li284\ri0\lin284\rin0\fi0\rtlch\afs24\lang1025\ab\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\b\loch\f1\fs24\lang11274\b 
\par \pard\plain \ltrpar\s19\cf0\qc{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\sa80\rtlch\afs28\lang1025\ab\ltrch\dbch\af1\langfe3082\hich\f1\fs28\lang11274\b\loch\f1\fs28\lang11274\b{\rtlch \ltrch\loch\f1\fs28\lang11274\i0\b{\caps Trabajo Pr\'e1ctico N\'b0}}{\rtlch \ltrch\loch\f1\fs28\lang11274\i0\b  1}
\par \pard\plain \ltrpar\s9\cf0\qc{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\keepn\rtlch\afs26\lang1025\ai\ab\ltrch\dbch\af1\langfe3082\hich\f1\fs26\lang11274\i\b\loch\f1\fs26\lang11274\i\b {\rtlch \ltrch\loch\f1\fs26\lang11274\i\b Perceptr\'f3n simple - Perceptr\'f3n multicapa / backpropagation}
\par \pard\plain \ltrpar\s1\cf0{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ql\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par \pard\plain \ltrpar\s11\cf0{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\keepn\ql\rtlch\afs24\lang1025\ai\ab\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\i\b\loch\f1\fs24\lang11274\i\b 
\par \pard\plain {\listtext\pard\plain \li360\ri0\lin360\rin0\fi-360\lang11274\lang1025\qj 1)\tab}\ilvl0 \ltrpar\s1\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls4\li360\ri0\lin360\rin0\fi-360\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Implementar un perceptr\'f3n simple que codifique letras, representadas en grillas de 5 filas y 5 columnas, utilizando cadenas de bits de longitud 5. La idea es asociar cada letra a un c\'f3digo binario, con lo cual el conjunto de entrenamiento estar\'e1 formado po
r patrones de la forma (entrada, salida esperada), es decir (letra, cadena de bits). Para esto, definir el conjunto de entrenamiento y la arquitectura de red. Luego del entrenamiento, testear la red con patrones con ruido e incompletos. Analizar los result
ados obtenidos y sacar conclusiones.}
\par \pard\plain \ltrpar\s20\cf0{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi66\ql\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par \pard\plain \ltrpar\s20\cf0{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par \pard\plain {\listtext\pard\plain \li360\ri0\lin360\rin0\fi-360\sa120\lang11274\lang1025\qj\tx360 2)\tab}\ilvl0 \ltrpar\s20\cf0\qj\tx360{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls0\li360\ri0\lin360\rin0\fi-360\sa120\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Utilizar un {\rtlch\ltrch\dbch\hich\b\loch\b perceptr\'f3n multicapa}, para:}
\par \pard\plain {\listtext\pard\plain \li1066\ri0\lin1066\rin0\fi-360\sa60\lang11274\lang1025\qj\tx1068 a)\tab}\ilvl0 \ltrpar\s20\cf0\qj\tx1068{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls3\li1066\ri0\lin1066\rin0\fi-360\sa60\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Determinar si una secuencia de 6 bits de longitud es sim\'e9trica alrededor de su centro.}
\par \pard\plain {\listtext\pard\plain \li1068\ri0\lin1068\rin0\fi-360\lang11274\lang1025\qj b)\tab}\ilvl0 \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls3\li1068\ri0\lin1068\rin0\fi-360\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Aproximar la funci\'f3n  {\rtlch\ltrch\dbch\hich\i\loch\i sen( x + \'bd y)}}
\par \pard\plain \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li357\ri0\lin357\rin0\fi0\sb120\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Determinar para cada uno de los puntos a) y b):}
\par \pard\plain {\listtext\pard\plain \li1560\ri0\lin1560\rin0\fi0\sb60\lang11274\lang1025\qj\tx1560\f5\f5\f5 \u61600\'3f\tab}\ilvl0 \ltrpar\s20\cf0\qj\tx1560{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls1\li1560\ri0\lin1560\rin0\fi0\sb60\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 la arquitectura de red}
\par \pard\plain {\listtext\pard\plain \li1560\ri0\lin1560\rin0\fi0\lang11274\lang1025\qj\tx1560\f5\f5\f5 \u61600\'3f\tab}\ilvl0 \ltrpar\s20\cf0\qj\tx1560{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls1\li1560\ri0\lin1560\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 el tipo de unidades utilizadas }
\par \pard\plain {\listtext\pard\plain \li1560\ri0\lin1560\rin0\fi0\lang11274\lang1025\qj\tx1560\f5\f5\f5 \u61600\'3f\tab}\ilvl0 \ltrpar\s20\cf0\ql{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 la(s) funci\'f3n(es) de activaci\'f3n utilizada(s)}
\par \pard\plain {\listtext\pard\plain \li1560\ri0\lin1560\rin0\fi0\lang11274\lang1025\qj\tx1560\f5\f5\f5 \u61600\'3f\tab}\ilvl0 \ltrpar\s20\cf0\ql{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 valores para cada uno de los par\'e1metros de la red}
\par \pard\plain {\listtext\pard\plain \li1560\ri0\lin1560\rin0\fi0\sa60\lang11274\lang1025\qj\tx1560\tx1843\f5\f5\f5 \u61600\'3f\tab}\ilvl0 \ltrpar\s20\cf0\qj\tx1560\tx1843{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls1\li1560\ri0\lin1560\rin0\fi0\sa60\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 conjunto de pares entrada / salida para el perceptr\'f3n del punto a), y dominio dentro del intervalo [0, 2{\rtlch\ltrch\dbch\hich\f7\fs28\loch\f7\fs28 \'f0}] para el perceptr\u243\'3fn del punto b),}
\par \pard\plain \ltrpar\s20\cf0{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 justificando cada elecci\'f3n.}
\par \pard\plain \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li357\ri0\lin357\rin0\fi0\sb120\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Testear la capacidad de generalizaci\'f3n de cada perceptr\'f3n, considerando casos de interpolaci\'f3n y extrapolaci\'f3n si corresponde. Incorporar para el an\'e1lisis del punto b) el gr\'e1fico de la funci\'f3n y el de la aproximaci\'f3n obtenida.}
\par \pard\plain \ltrpar\s20\cf0\ql{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Graficar la variaci\'f3n de la funci\'f3n de costo para cada uno de los casos analizados y obtener conclusiones.}
\par \pard\plain \ltrpar\s20\cf0\ql{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Para resolver este ejercicio se recomienda utilizar los algoritmos ya implementados en MATLAB, como parte del paquete de {\rtlch\ltrch\dbch\hich\i\loch\i NeuralNetworks}. Es decir, no es necesario implementar el algoritmo de backpropagation.}
\par \pard\plain \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par \pard\plain {\listtext\pard\plain \li360\ri0\lin360\rin0\fi-360\lang11274\lang1025\qj 3)\tab}\ilvl0 \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls2\li360\ri0\lin360\rin0\fi-360\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Incorporar {\rtlch\ltrch\dbch\hich\b\loch\b par\'e1metros adaptativos }y{\rtlch\ltrch\dbch\hich\b\loch\b  momentum} para la resoluci\'f3n del ejercicio 2 b), con el objeto de mejorar los resultados obtenidos.}
\par \pard\plain \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par \pard\plain \ltrpar\s20\cf0\ql{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\li360\ri0\lin360\rin0\fi0\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 
\par \pard\plain {\listtext\pard\plain \li360\ri0\lin360\rin0\fi-360\lang11274\lang1025\qj 4)\tab}\ilvl0 \ltrpar\s20\cf0\qj{\*\hyphen2\hyphlead2\hyphtrail2\hyphmax0}\ls2\li360\ri0\lin360\rin0\fi-360\rtlch\afs24\lang1025\ltrch\dbch\af1\langfe3082\hich\f1\fs24\lang11274\loch\f1\fs24\lang11274 {\rtlch \ltrch\loch\f1\fs24\lang11274\i0\b0 Analizar c\'f3mo influye en el aprendizaje la {\rtlch\ltrch\dbch\hich\b\loch\b variaci\'f3n }de la{\rtlch\ltrch\dbch\hich\b\loch\b  velocidad de aprendizaje}, para alguno de los perceptrones multicapa utilizados en el ejercicio 2). Presentar las pruebas realizadas (incluyendo los gr\'e1ficos de la variaci\'f3n de la funci\'f3n de costo e
n funci\'f3n de la cantidad de \'e9pocas transcurridas) que justifiquen las conclusiones presentadas.}
\par }